The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems.
We consider periodic solutions of the parameter dependent differential-delay equation [italic]ẋ([italic]t) = -[lowercase Greek]Alpha [italic]f([italic]x([italic]t-1)) which exhibit special symmetries.
The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea
In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology.
Roger S. Gottlieb provides a lucid and accessible overview of what spirituality is, enabling a clear-eyed understanding of the concept, its manifold connections to other aspects of personal and social life, its role as a positive psychological and social phenomenon, and some of the risks that attend it.
The aim of Sit on Our Hands, or Stand on Our Feet is not to present a theology that explains disasters. In fact there is no such theology. Nor is this work primarily for those who are responded to; it is not part of the theological 'grab bag' that Christian responders carry with them to use for the benefit of casualties. It is more a part of the Christian's engaged practical theological apprenticeship prior to, and during, a response. This book represents the role of the practical theologian, who empowers the church community's legitimation and contribution in disaster response, and who encourages individual Christians--whose calling into particularly relevant professions, whose natural skills and/or professional training, could find them placed in a major incident responding status (paid or voluntary)--doing their work as unto the Lord. It is a serious must-read for any Christians who have hearts heavy with compassion but who are not sure what to do or why when disaster strikes.
By providing parallel accounts of the contrasting developments of classical Chinese and Western traditions, Anticipating China offers a means of avoiding the implicit cultural biases which so often distort Western understanding of Chinese intellectual culture. The book shows that failure to assess the significant cultural differences between China and the West has seriously affected our understanding of both classical and contemporary China, and makes the translation of attitudes, concepts, and issues extremely problematic.
This insightful book presents a radical rethinking of the relationship between law, regulation, and technology. While in traditional legal thinking technology is neither of particular interest nor concern, this book treats modern technologies as doubly significant, both as major targets for regulation and as potential tools to be used for legal and regulatory purposes. It explores whether our institutions for engaging with new technologies are fit for purpose.
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.